How would a congruence transformation affect the perimeter of a triangle.

congruence means the same. So you rotate the triangle to get a congruence transformation, or make a mirror image. Does that change the perimeter or area?

it doesn't

A congruence transformation, also known as an isometry, is a transformation that preserves the shape and size of an object. In the specific case of a triangle, a congruence transformation would not affect the perimeter of the triangle.

To understand why, let's consider the three types of congruence transformations: translations, rotations, and reflections.

1. Translations: A translation is a transformation that moves every point of an object in the same direction and distance. Since a translation preserves the distance between points, it does not change the lengths of the sides of a triangle. Hence, the perimeter of the triangle remains the same.

2. Rotations: A rotation is a transformation that rotates an object around a fixed point. It does not change the lengths of the sides of the triangle or the angles between them. Therefore, the perimeter remains unchanged.

3. Reflections: A reflection is a transformation that flips an object over a line, creating a mirror image. It also preserves the lengths of the sides of the triangle. Consequently, the perimeter remains unaffected.

In summary, a congruence transformation does not alter the lengths of the sides of a triangle. Thus, the perimeter of the triangle remains the same after applying any congruence transformation.